Symmetries on bounded observables: a unified approach based on adjacency preserving maps

DOI10.1007/s00020-011-1917-9zbMath1246.81053OpenAlexW2068526067MaRDI QIDQ421095

Peter Šemrl

Publication date: 23 May 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-011-1917-9

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of functional analysis in quantum physics (46N50) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (10)

Transformations preserving norms of means of positive operators and nonnegative functions ⋮ Order isomorphisms of operator intervals ⋮ Maps on S(H) preserving the difference of noninvertible algebraic operators ⋮ A non-injective version of Wigner's theorem ⋮ Determinant preserving maps: an infinite dimensional version of a theorem of Frobenius ⋮ Unnamed Item ⋮ Comparability preserving maps on Hilbert space effect algebras ⋮ Hua's fundamental theorem of geometry of rectangular matrices over EAS division rings ⋮ Unnamed Item ⋮ Singularity preservers on the set of bounded observables

Cites Work

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• Nonlinear commutativity preserving maps on self-adjoint operators
• Adjacency Preserving Maps on Hermitian Matrices
• Maps preserving the geometric mean of positive operators
• Non-linear Jordan triple automorphisms of sets of self-adjoint matrices and operators
• From geometry to invertibility preservers
• Order Isomorphisms of Cones

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